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The communication hierarchy of time and space bounded parallel machines

Norbert Popély (2003)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We describe the communicating alternating machines and their simulation. We show that, in the case of communicating alternating machines which are bounded, simultaneously, by polynomial time and logarithmic space, the use of three communication levels instead of two does not increase computational power of communicating alternating machines. This resolves an open problem [2] concerning the exact position of machines with three communication levels in the hierarchy.

The Communication Hierarchy of Time and Space Bounded Parallel Machines

Norbert Popély (2010)

RAIRO - Theoretical Informatics and Applications

We describe the communicating alternating machines and their simulation. We show that, in the case of communicating alternating machines which are bounded, simultaneously, by polynomial time and logarithmic space, the use of three communication levels instead of two does not increase computational power of communicating alternating machines. This resolves an open problem [2] concerning the exact position of machines with three communication levels in the hierarchy.

The compositional construction of Markov processes II

L. de Francesco Albasini, N. Sabadini, R. F. C. Walters (2011)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We add sequential operations to the categorical algebra of weighted and Markov automata introduced in [L. de Francesco Albasini, N. Sabadini and R.F.C. Walters, 
arXiv:0909.4136]. The extra expressiveness of the algebra permits the description of hierarchical systems, and ones with evolving geometry. We make a comparison with the probabilistic automata of Lynch et al. [SIAM J. Comput. 37 (2007) 977–1013].

The compositional construction of Markov processes II

L. de Francesco Albasini, N. Sabadini, R. F.C. Walters (2011)

RAIRO - Theoretical Informatics and Applications

We add sequential operations to the categorical algebra of weighted and Markov automata introduced in [L. de Francesco Albasini, N. Sabadini and R.F.C. Walters, 
arXiv:0909.4136]. The extra expressiveness of the algebra permits the description of hierarchical systems, and ones with evolving geometry. We make a comparison with the probabilistic automata of Lynch et al. [SIAM J. Comput.37 (2007) 977–1013].

Time and space complexity of reversible pebbling

Richard Královič (2004)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

This paper investigates one possible model of reversible computations, an important paradigm in the context of quantum computing. Introduced by Bennett, a reversible pebble game is an abstraction of reversible computation that allows to examine the space and time complexity of various classes of problems. We present a technique for proving lower and upper bounds on time and space complexity for several types of graphs. Using this technique we show that the time needed to achieve optimal space for...

Time and space complexity of reversible pebbling

Richard Královič (2010)

RAIRO - Theoretical Informatics and Applications

This paper investigates one possible model of reversible computations, an important paradigm in the context of quantum computing. Introduced by Bennett, a reversible pebble game is an abstraction of reversible computation that allows to examine the space and time complexity of various classes of problems. We present a technique for proving lower and upper bounds on time and space complexity for several types of graphs. Using this technique we show that the time needed to achieve optimal space for...

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